### Home > CALC > Chapter 1 > Lesson 1.2.4 > Problem1-70

1-70.

Selected values of a continuous even function are shown below. ).

 $x$ $f(x)$ $0$ $1$ $2$ $3$ $0$ $2$ $4$ $6$
1. Find $f(-1)$, $f(−2)$ and $f(−3)$.

Definition of an even function: $f(-a) = f(a)$.

Since $f(1) = 2$ then, by definition, $f(-1) = 2$ as well.

2. Sketch a possible graph of $f(x)$ on the domain $-3 ≤ x ≤ 3$.

3. Sketch another possible graph of $f(x)$ on the domain $−3 ≤ x ≤ 3$.

There are many ways to connect the points, just make sure you maintain symmetry over the $y$-axis.

4. Could the graph of $f(x)$ be a parabolic function? If so, find a possible equation of $f(x)$. If not, explain.

Can you draw a parabola through all of these points? Give it a try.

Use the eTool below to view the graphs of some possible functions.
Click the link at right for the full version of the eTool: Calc 1-70 HW eTool